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First eliminate fractions;

    Multiplying both sides by (x-4) gives;

    (2x+3)-((2x-8)(x-4))/(2x+1)=(x-4)

    Multiplying both sides by (2x+1) gives;

To begin we calculate the third unknown angle in the triangle by taking the two known angles (45.1 and 51.2) away from 180 degrees (remember the interior angles of a triangle sum to 180). We find this ...

23  35  47  59  ?First we need to find the pattern in the sequence. We can do this by working out the gaps between the numbers. To work out the gap, we subtract each number from the next one in the sequen...

To solve x² - 8x + 15 = 0 we could try to use the Product, Sum, Numbers method (PSN).

The PSN method tells us that our numbers must multply to make the product of the first and...

The integration by parts rule looks like this:

∫ u * v' dx = u * v - ∫ ( v * u' ) dx

Hence in this example, we want to make our u = x and v' = sinx

So we now n...